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Simplifying 6(8 + 7x) = 510 (8 * 6 + 7x * 6) = 510 (48 + 42x) = 510 Solving 48 + 42x = 510 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 42x = 510 + -48 Combine like terms: 48 + -48 = 0 0 + 42x = 510 + -48 42x = 510 + -48 Combine like terms: 510 + -48 = 462 42x = 462 Divide each side by '42'. x = 11 Simplifying x = 11
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